Multiple choice

In how many different ways can a committee of 3 persons be formed out of 15 persons?

  1. 45

  2. 455

  3. 15!/3!

  4. Cannot be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The number of ways to choose 3 persons out of 15 is given by the combination formula C(15, 3) = (15 * 14 * 13) / (3 * 2 * 1) = 5 * 7 * 13 = 455.

AI explanation

This requires finding the number of combinations of 15 persons taken 3 at a time, using the formula nCr = n! / (r!(n-r)!). Applying the numbers gives 15! / (3! * 12!) = (15 * 14 * 13) / (3 * 2 * 1). Calculating this yields 2730 / 6 = 455.

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